Series in locally convex spaces and inclusions between FK spaces
Published online by Cambridge University Press: 24 October 2008
Extract
Singer [10] defined a series Σxk in a Banach space X to be weakly p-unconditionally Cauchy if and only if Σλkxk converges in X for all λ∊lp, where 1 < p < ∞. For Banach spaces containing no subspace isomorphic to c0 Singer characterized such series as those for which
where 1/p + 1/q = 1 and X′ is the dual space of X.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 95 , Issue 3 , May 1984 , pp. 467 - 472
- Copyright
- Copyright © Cambridge Philosophical Society 1984
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